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105332356 = 22119322073
BaseRepresentation
bin1100100011100…
…11111010000100
321100012102211101
412101303322010
5203431113411
614241345444
72416211263
oct621637204
9240172741
10105332356
1154503838
122b338284
1318a8c94c
14ddbc5da
1593a98c1
hex6473e84

105332356 has 12 divisors (see below), whose sum is σ = 184494492. Its totient is φ = 52619648.

The previous prime is 105332351. The next prime is 105332417. The reversal of 105332356 is 653233501.

It can be written as a sum of positive squares in 2 ways, for example, as 83429956 + 21902400 = 9134^2 + 4680^2 .

It is a super-2 number, since 2×1053323562 = 22189810441021472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105332351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6265 + ... + 15808.

It is an arithmetic number, because the mean of its divisors is an integer number (15374541).

Almost surely, 2105332356 is an apocalyptic number.

It is an amenable number.

105332356 is a deficient number, since it is larger than the sum of its proper divisors (79162136).

105332356 is a wasteful number, since it uses less digits than its factorization.

105332356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23270 (or 23268 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 105332356 is about 10263.1552653168. The cubic root of 105332356 is about 472.2666369072.

Adding to 105332356 its reverse (653233501), we get a palindrome (758565857).

The spelling of 105332356 in words is "one hundred five million, three hundred thirty-two thousand, three hundred fifty-six".

Divisors: 1 2 4 1193 2386 4772 22073 44146 88292 26333089 52666178 105332356